PORTUGALIAE MATHEMATICA Vol. 60, No. 3, pp. 269304 (2003) 

General Existence Results for Second Order Nonconvex Sweeping Process with Unbounded PerturbationsMessaoud BounkhelDepartment of Mathematics, College of Science,King Saud University, P.O. Box 2455, Riyadh 11451  SAUDI ARABIA Email: bounkhel@ksu.edu.sa Abstract: This paper is devoted to study the existence of solutions for general second order sweeping processes with perturbations of the form $\dot x(t)\in K(x(t))$, $\ddot x(t)\inN(K(x(t));\dot x(t))+F(t,x(t),\dot x(t))+G(t,x(t),\dot x(t))$, where $K$ is a nonconvex setvalued mapping with compact values, $F$ is an unbounded scalarly upper semicontinuous convex setvalued mapping, and $G$ is an unbounded continuous non convex setvalued mapping taking their values in separable Hilbert spaces. Keywords: uniformly proxregular set; normal cone; subdifferential; second order nonconvex sweeping processes. Classification (MSC2000): 34A60, 34G25, 49J52. Full text of the article:
Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.
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